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Calculus I (Assignment Problems) / Derivatives / Differentiation Formulas   [Notes] [Practice Problems] [Assignment Problems]

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Paul
August 7, 2018


Calculus I - Assignment Problems
Limits Previous Chapter   Next Chapter Applications of Derivatives
Interpretation of the Derivative Previous Section   Next Section Product and Quotient Rule

 Differentiation Formulas

For problems 1  20 find the derivative of the given function.

 

1.  

 

2.  

 

3.  

4.  

 

5.  

 

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8.  

 

9.  

 

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20.  

 

For problems 21  26 determine where, if anywhere, the function is not changing.

21.  

 

22.  

 

23.  

 

24.  

 

25.  

 

26.  

 

27. Find the tangent line to  at .

 

28. Find the tangent line to  at .

 

29. Find the tangent line to  at .

 

30. The position of an object at any time t is given by

      (a) Determine the velocity of the object at any time t.

      (b) Does the object ever stop changing?

      (c) When is the object moving to the right and when is the object moving to the left?

 

31. The position of an object at any time t is given by

      (a) Determine the velocity of the object at any time t.

      (b) Does the object ever stop changing?

      (c) When is the object moving to the right and when is the object moving to the left?

 

32. Determine where the function  is increasing and decreasing.

 

33. Determine where the function  is increasing and decreasing.

 

34. Determine where the function  is increasing and decreasing.

 

35. Determine the percentage of the interval  on which   is increasing.

 

36. Determine the percentage of the interval  on which   is decreasing.

 

37. Is  increasing or decreasing more on the interval ?

 

38. Determine where, if anywhere, the tangent line to  is parallel to the line .

 

39. Determine where, if anywhere, the tangent line to  is perpendicular to the line .

 

40. Determine where, if anywhere, the tangent line to  is perpendicular to the line .

 

41. Determine where, if anywhere, the tangent line to  is parallel to the line .

 

Interpretation of the Derivative Previous Section   Next Section Product and Quotient Rule
Limits Previous Chapter   Next Chapter Applications of Derivatives

Calculus I (Assignment Problems) / Derivatives / Differentiation Formulas    [Notes] [Practice Problems] [Assignment Problems]

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